@a动力系统.X.旋涡的一般理论@Adong li xi tong.X.xuan wo de yi ban li lun@d= Dynamical systems:General theory of vortices@fV.V. Kozlov@zchi
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@a184页@c图@d25cm
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@a国外数学名著系列@Aguo wai shu xue ming zhu xi lie@h续一@v54
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@a中国科学院科学出版基金资助出版
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@a本书由德国施普林格出版公司授权
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@a有书目 (第177-180页) 和索引
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@a《国外数学名著系列(续1)(影印版)54:动力系统10(旋涡的一般理论》contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics.For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.
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@a动力系统 (数学)@Adong li xi tong ( shu xue )@x英文
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@a数学分析
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@aKozlov,@bV. V.@4编著
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动力系统.X.旋涡的一般理论= Dynamical systems:General theory of vortices/V.V. Kozlov.-第1版.-北京：科学出版社，2009.01
184页：图；25cm.-(国外数学名著系列.续一；54)
中国科学院科学出版基金资助出版
ISBN 978-7-03-023497-1(精装)：CNY50.00
《国外数学名著系列(续1)(影印版)54:动力系统10(旋涡的一般理论》contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of the general theory of vortices are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics.For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory of differential equations.
